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Finding the Third Proportional to 2,357 and 5,146

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Solution

The third proportional to 2,357 and 5,146 is: 11,235.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357 : 5,146 = 5,146 : x
  2. Step 2: Convert to fraction form
    2,357/5,146 = 5,146/x
  3. Step 3: Cross multiply
    2,357x = 5,146 × 5,146
  4. Step 4: Simplify right side
    2,357x = 26,481,316
  5. Step 5: Solve for x
    x = 26,481,316/2,357
  6. Step 6: Final answer
    x = 11,235.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.